A 16-foot ladder is placed against the side of a building. The bottom of the ladder is 8 foot from the base of the building. In
order to increase the reach of the ladder against the building, they moved the ladder four foot closer to the building. To the nearest foot, how much further up the building does the ladder now reach?
If instead the distribution is discrete, the value will depend on how the interval of number between 1 and 29 are chosen - are they integers? evenly spaced rationals? etc